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1002112001010 = 232511134577789
BaseRepresentation
bin11101001010100101000…
…01111010001111110010
310112210121220112012012200
432211102201322033302
5112404311133013020
62044210334004030
7132254161315251
oct16452241721762
93483556465180
101002112001010
11356aa211057a
12142271346616
13736639c8c93
1436706b38798
151b101d9e590
hexe95287a3f2

1002112001010 has 24 divisors (see below), whose sum is σ = 2605491202860. Its totient is φ = 267229866912.

The previous prime is 1002112000997. The next prime is 1002112001053. The reversal of 1002112001010 is 101002112001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 948210485121 + 53901515889 = 973761^2 + 232167^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002112000983 and 1002112001001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5567288805 + ... + 5567288984.

Almost surely, 21002112001010 is an apocalyptic number.

1002112001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002112001010 is an abundant number, since it is smaller than the sum of its proper divisors (1603379201850).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1002112001010 is a wasteful number, since it uses less digits than its factorization.

1002112001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11134577802 (or 11134577799 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1002112001010 its reverse (101002112001), we get a palindrome (1103114113011).

The spelling of 1002112001010 in words is "one trillion, two billion, one hundred twelve million, one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 11134577789 22269155578 33403733367 55672888945 66807466734 100211200101 111345777890 167018666835 200422400202 334037333670 501056000505 1002112001010